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10100220312 = 2337134624643
BaseRepresentation
bin10010110100000010…
…10010000110011000
3222001220100100112210
421122001102012120
5131141124022222
64350122435120
7505202312310
oct113201220630
928056310483
1010100220312
114313347016
121b5a662aa0
13c4c6aa330
146bb5b0440
153e1aa7d0c
hex25a052198

10100220312 has 64 divisors (see below), whose sum is σ = 31077607680. Its totient is φ = 2663793792.

The previous prime is 10100220307. The next prime is 10100220323. The reversal of 10100220312 is 21302200101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2310138 + ... + 2314505.

It is an arithmetic number, because the mean of its divisors is an integer number (485587620).

Almost surely, 210100220312 is an apocalyptic number.

10100220312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100220312 is an abundant number, since it is smaller than the sum of its proper divisors (20977387368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100220312 is a wasteful number, since it uses less digits than its factorization.

10100220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624672 (or 4624668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10100220312 its reverse (21302200101), we get a palindrome (31402420413).

The spelling of 10100220312 in words is "ten billion, one hundred million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 4624643 9249286 13873929 18498572 27747858 32372501 36997144 55495716 60120359 64745002 97117503 110991432 120240718 129490004 180361077 194235006 240481436 258980008 360722154 388470012 420842513 480962872 721444308 776940024 841685026 1262527539 1442888616 1683370052 2525055078 3366740104 5050110156 10100220312